Inverse spectral problem for quantum graphs
(2005) In Journal of Physics A: Mathematical and General 38(22). p.4901-4915- Abstract
- The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/229594
- author
- Kurasov, Pavel LU and Nowaczyk, Marlena LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and General
- volume
- 38
- issue
- 22
- pages
- 4901 - 4915
- publisher
- IOP Publishing
- external identifiers
-
- wos:000230980100015
- scopus:19944417603
- ISSN
- 0305-4470
- DOI
- 10.1088/0305-4470/38/22/014
- language
- English
- LU publication?
- yes
- id
- 631f5b32-a221-453b-8f28-5f2b7b16fa50 (old id 229594)
- date added to LUP
- 2016-04-01 16:06:33
- date last changed
- 2022-03-30 05:32:45
@article{631f5b32-a221-453b-8f28-5f2b7b16fa50, abstract = {{The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.}}, author = {{Kurasov, Pavel and Nowaczyk, Marlena}}, issn = {{0305-4470}}, language = {{eng}}, number = {{22}}, pages = {{4901--4915}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and General}}, title = {{Inverse spectral problem for quantum graphs}}, url = {{http://dx.doi.org/10.1088/0305-4470/38/22/014}}, doi = {{10.1088/0305-4470/38/22/014}}, volume = {{38}}, year = {{2005}}, }